How do you simplify $(x^2+4x+4)/(x^2-4)$ ?

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Answer 1 · 2016-07-10T05:37:46

The answer is $(x+2)/(x-2)$

First, you need to get the factors of the numerator and the denominator.

$(x^2+4x+4)/(x^2-4)$

$[(x+2)(x+2)]/[(x+2)(x-2)]$

Since x+2 is divisible by x+2, they will be cancelled.

And the answer is: $(x+2)/(x-2)$

How do you simplify (x^2+4x+4)/(x^2-4)(x^2+4x+4)/(x^2-4)?